What is the d/(da)(sin^2(a)+cos^4(a)) ?

The d/(da)(sin^2(a)+cos^4(a)) is sin(2a)-4cos^3(a)sin(a)

What is the first d/(da)(sin^2(a)+cos^4(a)) ?

The first d/(da)(sin^2(a)+cos^4(a)) is sin(2a)-4cos^3(a)sin(a)

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\frac{d}{d a} (sin^{2} (a) + cos^{4} (a))

sin (2 a) - 4 cos^{3} (a) sin (a)

Solution steps

\frac{d}{d a} (sin^{2} (a) + cos^{4} (a))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d a} (sin^{2} (a)) + \frac{d}{d a} (cos^{4} (a))

\frac{d}{d a} (sin^{2} (a)) = sin (2 a)

\frac{d}{d a} (cos^{4} (a)) = - 4 cos^{3} (a) sin (a)

= sin (2 a) - 4 cos^{3} (a) sin (a)

e^{2} x - 2

e^{2} x - 1

y = 2 x^{2} + 3 x \cdot tan (x)

\frac{d}{d t} (5 t + 45)

\frac{3 x ^{- 5}}{2}

What is the d/(da)(sin^2(a)+cos^4(a)) ?
The d/(da)(sin^2(a)+cos^4(a)) is sin(2a)-4cos^3(a)sin(a)
What is the first d/(da)(sin^2(a)+cos^4(a)) ?
The first d/(da)(sin^2(a)+cos^4(a)) is sin(2a)-4cos^3(a)sin(a)